Q25 / 90 · JEE Main 2019 (09 Apr Shift 1) · Chemistry

Consider the van der Waal's constants, $a$ and $b,$ for the following gases.

Gas $A r$ $N e$ $K r$ $X e$

$a / (a t m d m^{6} m o l^{- 2})$ $1.3$ $0.2$ $5.1$ $4.1$

$b / (10^{- 2} d m^{3} m o l^{- 1})$ $3.2$ $1.7$ $1.0$ $5.0$

Which gas is expected to have the highest critical temperature?

Gas	$A r$	$N e$	$K r$	$X e$
$a / (a t m d m^{6} m o l^{- 2})$	$1.3$	$0.2$	$5.1$	$4.1$
$b / (10^{- 2} d m^{3} m o l^{- 1})$	$3.2$	$1.7$	$1.0$	$5.0$

Correct answer
A
$K r$
B
$A r$
C
$X e$
D
$N e$

Solution

Critical temperature is :-

$T_{C} = \frac{8 a}{27 R b}$
for $K r$ the value of $(\frac{a}{b})$ is the highest so, $T_{c}$ for $K r$ will be highest.
$\frac{a}{b}$ for $A r = \frac{1.3}{3.2} = 0.406$
$\frac{a}{b}$ for $N e = \frac{0.2}{1.7} = 0.118$
$\frac{a}{b}$ for $K r = \frac{5.1}{1} = 5.1$
$\frac{a}{b}$ for $X e = \frac{4.1}{5} = 0.82$

Hence, the correct answer is option: 'A'.

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Consider the van der Waal's constants, a and b, for the following gases. Gas Ar Ne Kr Xe a/(atm dm6 mol-2) 1.3 0.2 5.1 4.1 b/(10-2 dm3 mol-1) 3.2 1.7 1.0 5.0 Which gas is expected to have the highest critical temperature?

Solution

More States of Matter Questions

Consider the van der Waal's constants, $a$ and $b,$ for the following gases.

Gas $A r$ $N e$ $K r$ $X e$

$a / (a t m d m^{6} m o l^{- 2})$ $1.3$ $0.2$ $5.1$ $4.1$

$b / (10^{- 2} d m^{3} m o l^{- 1})$ $3.2$ $1.7$ $1.0$ $5.0$

Which gas is expected to have the highest critical temperature?